Question

on a piece of paper graph f(x) = 20*0.6^X.Then determine which answer choice matches the graph you drew.

Answer 1

Answer:

A

Step-by-step explanation:

1. For each a>0, $a^0=1,$ thus $0.6 ^0=1$ and

$f(0)=20\cdot 0.6^0=20\cdot 1=20.$

Hence, the graph of the function passes through the point (0,20). This gives us that option B and C are extra.

2. At x=1

$f(1)=20\cdot 0.6^1=20\cdot 0.6=12.$

The graph of the function passes through the point (1,12).

3. We have to choose option A or option D. In option D graph of the function passes through the point (1,16), in option A graph passes through the point (1,12), so option A is correct.